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568                            Fundamentals of Water Treatment Unit Processes: Physical, Chemical, and Biological



                   sizes in the UF range, for example, 1–10 nm, have not  Product flow: See permeate.
                   been successful. Microporous membranes are suscep-  Rack: See membrane technology.
                   tible to plugging (Cheryan, 1986, p. 29).   Recovery: Ratio of product flow to feed flow. Typically, one
            Module: See membrane technology.                          pass through an RO membrane for seawater gives
            Molecular weight cutoff (MWCO): The pore sizes of a       40%–60% recovery (of permeate), that is, about
                   membrane may have a distribution. The MWCO is      50% of the concentrate is brine. An RO membrane
                   smallest molecular weight of a test molecule that will  with brackish feed water gives typically 70%–80%
                   not pass the pores of the membrane to a significant  recovery.
                   extent (Wiesner, 1993, p. 5). Molecules having  Reject flow: See concentrate flow.
                   MW   MWCO will not pass through the membrane.  Reverse osmosis: When pressure is applied to the saline
                   A portion of the molecules having MW < MWCO        water side of a semipermeable membrane that is in
                   will pass, depending on the size of the molecules and  excess of the osmotic pressure that is due to the
                   the pore-size distribution.                        saline water, water will flow from the saline water
            Nanofiltration: Membrane filtration that removes many       side to the permeate side. While osmosis occurs by
                   organic molecules, and some larger ions, particularly  diffusion from the pure water side to the saline water
                   ions that are complexes.                           side, ‘‘RO’’ causes water to flow in the reverse dir-
            Osmosis: The diffusion of water from the pure water side of a  ection (see also ‘‘osmosis’’ and ‘‘hyperfiltration).
                   semipermeable membrane to the saline side.         Since the flow of water from the saline side to the
            Osmotic pressure: If a semipermeable membrane separates a  permeate side is proportional to the pressure differ-
                   pure water and a saline solution, the water level in  ential (after subtracting the osmotic pressure), one
                   the saline solution side will rise to a level that is the  may infer that the Poiseuille law applies. (There may
                   osmotic pressure, p, of the saline solution. The   be some debate on this point.)
                   osmotic pressure may be calculated by the van’t  Screen filter: A filter in which suspended material larger than
                   Hoff equation for dilute solutions.                the openings is retained on the surface (Cheryan,
            Package: The membrane element that includes whatever      1986, p, 27).
                   ancillary parts are necessary such that the system  Silt density index: An empirical test developed for mem-
                   works as a technology (as used here for descriptive  brane systems to measure the rate of fouling of a
                   purposes; the term is not one that is used commonly  0.45 mm filter pad by the suspended and colloidal
                   in the industry).                                  particles in a feed water. This test involves the time
            Permeability: A characteristic of the flow resistance of a  required to filter a specified volume of feed at a
                   membrane, defined in terms of Darcy’s law, Equa-    constant 30 psi at time zero and then after 5, 10,
                   tion E.5, v ¼ K(dh=dz), in which K ¼ krg=m,        and 15 min of continuous filtration. Typical RO
                   Equation E-4. Alternatively, the Poiseuille equation,  element warranties list a maximum SDI of 4.0 at
                   Equation D.11, also describes the same, only it is  15 min for the feed water. If the SDI test is limited
                   in terms of viscous flow through a pipe, that       to only 5 or 10 min readings due to plugging of the
                                        2
                   is,  dp=dz ¼ 32mv(avg)=d ;  rearranged,  v(avg) ¼  filter pad, the user can expect a high level of fouling
                                    2
                     2
                   (d =32m)(dp=dz) ¼ (d rg=32m)(dp=dz). In the latter  for the RO. Deep wells typically have SDIs of three
                            2
                                                     2
                   case, K ¼ d rg=32m and therefore, k ¼ d =32. See   or less and turbidities less than one with little or no
                   also intrinsic permeability.                       pretreatment. Surface sources typically require pre-
            Permeate: The flow of water through the pores of the mem-  treatment for removal of colloidal and suspended
                   brane.                                             solids to achieve acceptable SDI and turbidity val-
            Permeate flow: Flow of permeate, Q P , that is, water that has  ues. Foregoing is described in, SDI–Silt Density
                   been transported across the membrane, leaving con-  Index Examined and Explained, Industrial Water
                   taminants behind, as illustrated in Figure 17.1.   Treatment Consulting, 2010, http:==www.iwtc.com.
            Plate-and-frame: A configuration of membrane sheets in     au=resources=IWTC_SDI_examined_and_explained.
                   which the feed flow is between two membrane         pdf.
                   sheets. Spacers of some material are located on the  Solute: The dissolved solid portion of a solution. Most often,
                   other sides of the respective membrane sheets. The  the term is used in reference to a particular species of
                   pattern is repeated such that perhaps several hundred  dissolved solids, for example, Na , sucrose, etc.
                                                                                                 þ
                   sheet–spacer pairs comprise the membrane system.  Solute rejection: The fraction of solute that is ‘‘rejected’’ by
            Polarization: The point at which the current density      the membrane and is carried out in the reject flow. The
                          2
                   (amps=m ) is high enough to dissociate the water   term has not been applied to hollow-fiber membranes
                   molecule, resulting in the formation of OH    and  (but could be defined based on the flow of water for
                   H ions (Meller, 1984).                             hydraulic flushing over, say a 24 h period).
                    þ
            Pressure vessel: Usually a tube that houses one or more  Spiral wound: A higher area of membrane surface area per
                   membrane elements (see also module).               unit volume is obtained by configuring an array of
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